zbMATH — the first resource for mathematics

Reservoir simulation. Mathematical techniques in oil recovery. (English) Zbl 1167.86001
CBMS-NSF Regional Conference Series in Applied Mathematics 77. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-40-5/pbk; 978-0-89871-707-5/ebook). xxviii, 219 p. (2007).
This book’s methodological approach familiarizes readers with the mathematical tools required in simulations of oil recovery processes. It begins with an overview of classical reservoir engineering and basic reservoir simulation methods and then progresses through a discussion of types of flows – single-phase, two-phase, black oil (three-phase), single phase with multicomponents, compositional, and thermal. The text originates from the material presented by the author at a CBMS-NSF Regional Conference during a ten-lecture series on multiphase flows in porous media and their simulations.
The author provides a thorough glossary of petrolium engineering terms and their units, along with basic flow and transport equations and their unusual features, and corresponding rock and fluid properties. The practical aspects of reservoir simulation, such as data gathering and analysis, selection of a simulation model, history matching, and reservoir perfomance prediction, are summarized. The book is aimed at advanced undergraduates and first-year graduate students in geology, petroleum engineering, and applied mathematics; as a refence book for geologists, petroleum engineers, and applied mathematicians; or as a handbook for practitioners in the oil industry. Prerequisites are calculus, basic physics, and some knowledge of partial differential equations and matrix algebra.

86-02 Research exposition (monographs, survey articles) pertaining to geophysics
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
76T30 Three or more component flows
86A20 Potentials, prospecting
76M20 Finite difference methods applied to problems in fluid mechanics
Full Text: DOI